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3734966272 = 2128531069
BaseRepresentation
bin1101111010011111…
…0001000000000000
3100122021222221112011
43132213301000000
530122122410042
61414341142304
7161361455332
oct33647610000
910567887464
103734966272
111647322494
128829ba994
13476a4721b
14276083452
1516cd71a17
hexde9f1000

3734966272 has 52 divisors (see below), whose sum is σ = 7484771980. Its totient is φ = 1863548928.

The previous prime is 3734966243. The next prime is 3734966281. The reversal of 3734966272 is 2726694373.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 851705856 + 2883260416 = 29184^2 + 53696^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3493354 + ... + 3494422.

Almost surely, 23734966272 is an apocalyptic number.

3734966272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3734966272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3742385990).

3734966272 is an abundant number, since it is smaller than the sum of its proper divisors (3749805708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3734966272 is an equidigital number, since it uses as much as digits as its factorization.

3734966272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1924 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 49.

The square root of 3734966272 is about 61114.3704213665. The cubic root of 3734966272 is about 1551.5373262140.

The spelling of 3734966272 in words is "three billion, seven hundred thirty-four million, nine hundred sixty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 853 1024 1069 1706 2048 2138 3412 4096 4276 6824 8552 13648 17104 27296 34208 54592 68416 109184 136832 218368 273664 436736 547328 873472 911857 1094656 1746944 1823714 2189312 3493888 3647428 4378624 7294856 14589712 29179424 58358848 116717696 233435392 466870784 933741568 1867483136 3734966272